Sum of squares

S u m o f f i r s t n t e r m s o f a n A P i s c n 2 , Sum\quad of\quad first\quad n\quad terms\quad of\quad an\quad AP\quad is\quad c{ n }^{ 2 },\quad t h e n t h e s u m o f s q u a r e s o f t h e s e n t e r m s i s then\quad the\quad sum\quad of\quad squares\quad of\quad these\quad n\quad terms\quad is

n ( 4 n 2 + 1 ) c 2 3 \cfrac { n(4{ n }^{ 2 }+1){ c }^{ 2 } }{ 3 } n ( 4 n 2 + 1 ) c 2 6 \cfrac { n(4{ n }^{ 2 }+1){ c }^{ 2 } }{ 6 } n ( 4 n 2 1 ) c 2 3 \cfrac { n(4{ n }^{ 2 }-1){ c }^{ 2 } }{ 3 } n ( 4 n 2 1 ) c 2 6 \cfrac { n(4{ n }^{ 2 }-1){ c }^{ 2 } }{ 6 }

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